Understanding Linear Equations and Solutions

The video tutorial explains how to evaluate linear equations on a graph. It starts by introducing the system of linear equations and their graphical representation. The tutorial then demonstrates how to find the value of y for the equation y = x - 7 when x is 8, showing that y equals 1. Next, it evaluates the equation y = 12x - 1 for the same x value, resulting in y equaling 5. Finally, the tutorial analyzes whether x=8 is a solution by checking if the y-values of both equations are equal at this point, concluding that they are not, as the lines do not intersect at x=8.

What is the y-value of the equation y = x - 7 when x is 8?

• 0

• 1

• 7

• 8

Which line represents the equation y = x - 7?

• Brown line

• Green line

• Red line

• Blue line

What is the y-value of the equation y = 12x - 1 when x is 8?

• 95

• 12

• 11

• 5

Which line represents the equation y = 12x - 1?

• Brown line

• Blue line

• Green line

• Red line

Why is x = 8 not a solution to the system of equations?

• The y-values are the same for both lines

• The x-value is incorrect

• The lines do not intersect at x = 8

• The lines intersect at x = 8

What would indicate that x = 8 is a solution to the system of equations?

• The lines are parallel

• The lines intersect at x = 8

• The x-value is negative

• The y-values are different for both lines